Gravitational collapse of generalized Vaidya spacetime
Abstract
We study the gravitational collapse of a generalized Vaidya spacetime in the context of the cosmic censorship hypothesis. We develop a general mathematical framework to study the conditions on the mass function so that future directed nonspacelike geodesics can terminate at the singularity in the past. Thus our result generalizes earlier works on gravitational collapse of the combinations of TypeI and TypeII matter fields. Our analysis shows transparently that there exist classes of generalized Vaidya mass functions for which the collapse terminates with a locally naked central singularity. We calculate the strength of these singularities to show that they are strong curvature singularities and there can be no extension of spacetime through them.
 Publication:

Physical Review D
 Pub Date:
 September 2014
 DOI:
 10.1103/PhysRevD.90.064034
 Bibcode:
 2014PhRvD..90f4034M
 Keywords:

 04.20.Dw;
 Singularities and cosmic censorship